sandeep visited green glen apple orchard yesterday. he picked a basket of fresh apples in the field. he also got 3 pounds of pre-picked apples at the farm stand because they were overripe and perfect for making applesauce. the farm charges $4 a pound for apples, regardless of whether they're fresh or pre-picked. sandeep paid $30 in all. which equation can you use to find f, the number of pounds of fresh apples sandeep picked? how many pounds of fresh apples did sandeep pick? write your answer as a whole number or a decimal.
Sandeep picked up 4.5 pounds of fresh apples from the field
An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the standard form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant.
Pounds of pre-picked apples picked up by Sandeep = 3 pounds
Charges per pound = $4
The total amount paid by Sandeep = $30
Let x be the pounds of fresh apples picked up by Sandeep
In the formulation of the equation we get the following:
Pounds of pre-picked apples*Charges per pound + Pounds of fresh apple picked*Charges per pound = Total amount paid by Sandeep
= 3*4 + x*4 = 30
12 +4x = 30
4x = 18
x = 4.5
So, fresh apples = 4.5 pounds
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HELP PLEASE
Marcus works at the grocery store. He earns 8.75 per hour. Last week he worked 6.5 hours. How much did Marcus make last week?
What is the exact value of cos 30°? 0 one half radical 2 over 2 radical 3 over 2
The exact value of the trigonometric cosine function cos 30° is √3/2.
In trigonometry, the cosine function is defined as the ratio of the adjacent side to the hypotenuse in a right triangle. Using the unit circle, we can find the exact values of the trigonometric functions for angles in degrees or radians. One of the most important concepts in trigonometry is the unit circle.
A special triangle is a 30-60-90 triangle, where one angle is 30 degrees, another angle is 60 degrees, and the last angle is 90 degrees. The ratio of the adjacent side to the hypotenuse in this triangle is √3/2. Therefore, the exact value of cos 30° is √3/2. This means that the cosine of 30 degrees is the ratio of the adjacent side (x) to the hypotenuse (1) in the unit circle where x = √3/2.
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what is the period?
Answer: 2π/3
Step-by-step explanation: At 2π, three cycles have been completed. The period is the length of one cycle.
Measure from peak to peak.
Another way to look at it is to measure the first cycle between 0 to π. One cycle has been completed at 2/3 the distance between 0 and π.
7 divided by 2-4.5 multiplied by 3+8
Answer:
-2
Step-by-step explanation:
(7/2)-(4.5* 3) +8= -2
Answer: -2
Step-by-step explanation:
please help! it’s a true or false question plssss!
Answer:
True
Step-by-step explanation:
# 3) A trained dog jumps through a hoop with a circumference of
50.24 in. What is the radius of the hoop?
Use 3.14 as pi.
The radius of the hoop is 8 inches.
We have,
The circumference of a circle is given by the formula C = 2πr
Where C is the circumference and r is the radius.
Rearranging the formula.
r = C / (2π)
Substituting the given value for the circumference of the hoop.
r = 50.24 in / (2 × 3.14)
r = 8 in (rounded to the nearest whole number)
Therefore,
The radius of the hoop is 8 inches.
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cual es el método tradicional de dividir polinomios??
Answer:
Dividir el primer término del dividendo (el polinomio a dividir) por el primer término del divisor. Esto da el primer término del cociente. Multiplica el divisor por el primer término del cociente. Reste el producto del dividendo y luego baje el siguiente término.
Divide the first term of the dividend (the polynomial to be divided) by the first term of the divisor. This gives the first term of the quotient. Multiply the divisor by the first term of the quotient. Subtract the product from the dividend then bring down the next term.
Kaye will compute for the area of a circle using the formula A=π×r2.If given is the diameter of a circle , what should be computed first?
Answer:
Find the radius.
Step-by-step explanation:
The task is to solve for area of a circle, and you are given the diameter.
The formula for area is :
Area of a circle = π × (radius)²
In this formula, there is only one input value, and that is the radius.
To find the radius, you must know the relation :
Radius x 2 = Diameter
Hence, the radius must be computed first and foremost.
a square sheet of paper has area $15\text{ cm}^2$. the front side is white and the back side is black. a corner of the sheet is lifted and placed so that the crease is at a $45^\circ$ angle. if the fold is such that the visible black area is equal to the visible white area, how many centimeters long is the crease? express your answer in simplest radical form.
The crease is \($x = \sqrt{15}\text{ cm}$\) long.
Let $x$ be the length of the crease. Then, the visible white area is a triangle with base of length $x$ and height of \($x\sqrt2$.\) The visible black area is also a triangle with the same base and height. Therefore, we have the equation
\($\frac{x^2\sqrt2}{2} = \frac{15}{2}$\)
Solving for $x$, we get
\(x^2=\sqrt{15}\)
Therefore, the crease is \($x = \sqrt{15}\text{ cm}$\) long.
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The radius of a wheel is 28cm. How many revolutions will it make in travelling 3.52km?
Answer:
2001
Step-by-step explanation:
First, let us find the circumference of the wheel ( circle ) using the below formula.
C = 2πr
Here,
r ⇒ radius ⇒ 28 cm
Let us solve it now.
C = 2 × π × 28
C = 175.93 cm
And now let us covert the travelling distance to centimeters.
( For that, multiply km by 100000 )
3.52km = 352000 cm
Now, to find the number of revolution, divide the total distance travelled by its circumference.
352000/175.93 = 2000.79
Approximately, 2001 revolutions
The number of revolutions made by a wheel of 28cm radius covering a distance of 3.52km is 2000.8.
Given,
Radius, r = 28cm
Circumference = 2πr = 56π cm
Circumference = Distance traveled in one revolution
The distance traveled by wheel = 3.52km = 3520m = 352000cm
Let N = number of revolution
Now we know that,
Total distance = Number of revolutions × 1 revolution distance(circumference)
or 352000 = N × 56π
or N = 352000/56π
or N = 2000.8
Therefore, the number of revolutions made by a wheel of 28cm radius covering a distance of 3.52km is 2000.8.
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50 points!
Ahmed needs to take a close-up shot of an orange for his art class. He frames a shot of an orange as shown below, so that the lines of sight form tangents to the orange. If the measure of the cameras viewing angle is 34 degrees, what is angle ACB?
Answer:
either 34 or 214
Step-by-step explanation:
1) How do we find surface area? (What is it?)
2) What is the surface area of this pyramid?
Answer:
1) First find the base, then one triangle face and multiply it by four
2) 360 units squared
Step-by-step explanation:
10*10 = 100
10*13 = 130
130*2 = 260
260 + 100 = 360
Answer:
Surface Area=360
Step-by-step explanation:
All the triangles of a square pyramid are congruent meaning you can find the area of 1 and multiply by to find the total surface area of all 4 triangles.
Area of a triangle formula= bh/2
Area of 1 triangle= 13*10/2=65
Multiply by 4 to find the total surface area of the triangles: 65*4=260
Then add the area of the square base.
Area of Square base=10*10=100
Add the total area of the triangles and square base: 260+100=360
find the slope please hurryyyyyy
Answer:
2 is the slope.
Step-by-step explanation:
To find the slope of this, pick 2 points each
(-2, 3) , (-1,5)
Simply do 5-3 and -1--2.
This equals to 2/1, or 2.
The following data represent the dividend yields (in percent) of a random sample of 26 publicly traded des Complete parts (a) to (c) 0.5 0.8 1.75 0.04 0.18 0.35 3.69 0 0.95 0 0.17 1.83 1.33 0 0.54 1.14 0.41 159 21 2.41 292 3.18 3.03 1.43 0.58 0.13 0 0.19 (a) Compute the five-number summary The five-number summary is 10000 (Round to two decimal places as needed. Use ascending order)
Based on the data above, The five-number summary is 0.00, 0.17, 0.5, 1.43, 292.00.
The following data represent the dividend yields (in percent) of a random sample of 26 publicly traded des.
The following data represents the dividend yields (in percent) of a random sample of 26 publicly traded des:
0.5 0.8 1.75 0.04 0.18 0.35 3.69 0 0.95 0 0.17 1.83 1.33 0 0.54 1.14 0.41 159 21 2.41 292 3.18 3.03 1.43 0.58 0.13 0 0.19
Here, the five-number summary is given by:
Minimum value = 0.00
First Quartile (Q1) = 0.17
Median (Q2) = 0.5
Third Quartile (Q3) = 1.43
Maximum value = 292.00
Therefore, the five-number summary is 0.00, 0.17, 0.5, 1.43, 292.00.
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Determine if the event shows uniform probability or not. You have a spinner with 8 equal spaces on it. Each space is numbered with a different integer between 1 and 8.
Answer:
it does show uniform probability.
Step-by-step explanation:
because the spaces are all equal, so there is an equal chance of every integer being picked.
Charlie deposited $115 in a savings account. Each week thereafter, he deposits $35 into the account. How much money has Charlie deposited after 30 weeks
Use the number line below, where RS = 4y+4 , ST=3y+4 , and RT=43. a. What is the value of y? b. Find RS and ST.
Ignore the equation on the top just use the number line
Answer: a. y=5
b. RS=24, ST=19
Step-by-step explanation:
a. RT=RS+ST
43=4y+4+3y+4
43=4y+3y+4+4
43=7y+8
7y=35
y=5
b. RS=4y+4
RS=4(5)+4
RS=20+4
RS=24
ST=3(5)+4
ST=15+4
ST=19
A landscaper is designing a display of flowers for an area in a public park. The flower seeds will be planted at points that lie on a circle that has a diameter of 8 feet. the point where any seed is planted must be 2 feet away from the seeds on either side of it. what is the maximum number of flower seeds that can be planted using the design?
after planting the flower seeds the landscaper has 20 seeds left over. the landscaper wants to plant all of the remaining seeds in another circle so that the seeds are 2 feet apart. what is the diameter of the smallest circle that the landscaper can use to plant all of the remaining seeds?
The z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.
The z-score for P(z ≥ ?) = 0.30 is approximately -0.52.
How to find the Z score
P(Z ≤ z) = 0.60
We can use a standard normal distribution table or a calculator to find that the z-score corresponding to a cumulative probability of 0.60 is approximately 0.25.
Therefore, the z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.
For the second question:
We want to find the z-score such that the area under the standard normal distribution curve to the right of z is 0.30. In other words:
P(Z ≥ z) = 0.30
Using a standard normal distribution table or calculator, we can find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52 (since we want the area to the right of z, we take the negative of the z-score).
Therefore, the z-score for P(z ≥ ?) = 0.30 is approximately -0.52.
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Please answer the question as best as possible
Answer:
Quadrant 2
Step-by-step explanation:
In this question, we are given that \(\sin\theta\) is positive, and \(\cos\theta\) is negative.
This means that if we graph \(\theta\) and find its point of intersection with the unit circle, the y-coordinate will be positive, and the x-coordinate will be negative.
If we look at the coordinate plane, the quadrant where y is positive and x is negative is Quadrant 2 (the upper left quadrant).
How many times bigger is the Pacific than the
Gulf of Mexico
Pacific Ocean:
Gulf of Mexico:
12 times bigger
36 times bigger
10 times bigger
O100 times bigger
6 x 107
6 x 105
The Pacific Ocean is roughly 100 times bigger than the Gulf of Mexico.
What is Ocean?Ocean is the largest and most prominent feature of the Earth's surface. It covers more than 70% of the planet and contains 97% of its water. Oceans are vital to life on Earth, providing food and resources, regulating the climate, and supporting a vast array of marine life. They are home to a variety of habitats including coral reefs, deep sea trenches, and shallow coastal estuaries.
The Pacific Ocean covers an area of roughly 63.8 million square miles (165.2 million square kilometers), while the Gulf of Mexico covers an area of only 615,000 square miles (1.6 million square kilometers). This means that the Pacific Ocean is roughly 6 x 105 (or 600,000) times bigger than the Gulf of Mexico.
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Taylor has a job unpacking boxes and stocking shelves with new merchandise at a local clothing store. She gets paid per pox of merchandise. She needs to unpack 38 boxes to earn money to pay for her summer camp fees . If each box takes the same amount of time , and she can unpack 4 boxes in 3 hours, how long will it take her to unpack 38 boxes ?
The time taken to unpack 38 boxes is 28 hours 30 minutes.
Given,
Taylor has job unpacking boxes and stocking shelves with new merchandise at a local clothing store.
She gets paid per pox of merchandise.
She needs to unpack 38 boxes to earn money to pay for her summer camp fees .
Each box takes the same amount of time.
she can unpack 4 boxes in 3 hours.
We need to find how long will it take her to unpack 38 boxes.
We have,
38 boxes to unpack.
4 boxes in 3 hours.
We can write it as:
4 boxes = 3 hours.
Divide it by 4 into both sides.
4/4 boxes = 3/4 hours
1 box = 3/4 hours
We see that for 1 box to unpack it takes around 3/4 hours.
1 box = 3/4 hours
Multiplying 38 on both sides.
38 x 1 box = 38 x 3/4 hours
38 boxes = 28.5 hours.
We see that unpacking 38 boxes will take 28.5 hours.
28.5 hours = 28 hours 30 minutes
Thus the time taken to unpack 38 boxes is 28 hours 30 minutes.
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josh wants to determine the number of loaves of bread he can bake using the 13 1/3 cups of flour he has
Answer:
C 4 loaves
Step-by-step explanation:
Which type of cable is uses a two-number designator consisting of core and cladding measurements?
Fiber optic type of cable is uses a two-number designator consisting of core and cladding measurements.
What does fiber optics serve?
Fiber optics are used for long-distance and high-performance data networking. It is often used in other telecommunications services as well, including internet, television, and telephones.What methods are used to deploy fiber optics?
Installing fiber optic cable indoors or outdoors can be done using a variety of installation methods. Outdoor cable can be buried or placed in between poles. It may also be blasted or dragged into an innerduct or conduit.Can fiber optics compete with the internet?
When compared to normal cable internet and DSL, fiber optic internet is about 20 and 80 times faster. Fiber is the best choice for the majority of internet users because it only costs $10 to $20 more each month.Learn more about fiber optics
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Determine whether these biconditionals are true or false. a) 2 2 = 4 if and only if 1 1 = 2. b) 1 1 = 2 if and only if 2 3 = 4. c) 1 1 = 3 if and only if monkeys can fly.
The result of biconditional statements are as follow,
a) True. 2 + 2 = 4 and 1 + 1 = 2.
b) False. 1 + 1 = 2, but 2 + 3 = 5, not 4.
c) False. 1 + 1 = 2, but monkeys cannot fly.
d) False. 0 is not greater than 1, but 2 is greater than 1.
a) 2 + 2 = 4 if and only if 1 + 1 = 2.
This biconditional is true.
Both statements are true because basic arithmetic principles dictate that 2 + 2 equals 4, and 1 + 1 equals 2.
b) 1 + 1 = 2 if and only if 2 + 3 = 4.
This biconditional is false.
The first statement is true since 1 + 1 equals 2. However, the second statement, 2 + 3 = 4, is false because 2 + 3 equals 5, not 4.
c) 1 + 1 = 3 if and only if monkeys can fly.
This biconditional is false.
The first statement, 1 + 1 = 3, is false because 1 + 1 equals 2, not 3. The second statement, "monkeys can fly," is also false.
because monkeys are not capable of natural flight.
d) 0 > 1 if and only if 2 > 1.
This biconditional is false. The first statement, 0 > 1, is false because 0 is not greater than 1.
However, the second statement, 2 > 1, is true because 2 is indeed greater than 1.
Therefore, the biconditional is false since the statements do not have the same truth value.
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The above question is incomplete, the complete question is:
Q : Determine whether these biconditionals are true or false.
a) 2 + 2 = 4 if and only if 1 + 1 = 2.
b) 1 + 1 = 2 if and only if 2 + 3 = 4.
c) 1 + 1 = 3 if and only if monkeys can fly.
d) 0 > 1 if and only if 2 > 1
at the shelter, 15% of the dogs are puppies there are 80 dogs at the shelter. How many dogs are puppies?
Answer:
12.00 because you can change 15% to 0.15 then multiply 80 and 0.15 together and it will give you 12.00
-
What is the value of p so that the expression 6x +3 - (83 – 5) is equivalent to p(2 - 4)?
Use the on-screen keyboard to type the correct value in the box below.
what the expression for p?
Answer:
10x2+12 is the solution to your query.
Step-by-step explanation:
There are 180 puppies in the shelter with 9 kids. How many students puppies per kids?
The number of puppies per kids is 20 puppies.
Given that, there are 180 puppies in the shelter with 9 kids.
Number of puppies per kids = Total number of puppies/Number of kids
= 180/9
= 20 puppies
Therefore, the number of puppies per kids is 20 puppies.
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What is 3n + 1 when n =4
Answer:
13
Step-by-step explanation:
3n+1
Let n= 4
3(4)+1
12+1
13
Answer:
\({ \tt{f(n) = 3n + 1}} \)
» When n is 4, f(n) is f(4);
\({ \tt{f(4) = 3(4) + 1}} \\ { \tt{f(4) = 12 + 1}} \\ { \underline{ \tt{ \: f(4) = 13 \: }}}\)
In the figure, m<4=65 degrees. Find the measure of each angle.
6.) m<6
7.) m<2
8.) m<3
9.) m<8
10.) m<7
11.) m<5
12.) m<1
Answer:
4 and 2 are 65 vertical angles
8 and 6 ae 65 corresponding angles to 4 and 2
1 is 115 supplemental to 4
3 is 115 vertical
5 and 7 are 115 corresponding to 1 and 3.
Step-by-step explanation: